is COS from h4 to h1 possible if I already have a H1 approved

hi,

I have H4 stamped and my H1 visa was approved in August 2012.My H1 is not yet stamped.

My husband is currently working in US and I have never travelled before in US.

My question is , if I resign my current organisation in India and travel to US on H4, can I join some other organiztaion there and they apply for COS for me?

is it possible to work there in such case?

Thanks,